What is the answer to |(8x-1)/(3x+2)|-7=0 ?

The answer to |(8x-1)/(3x+2)|-7=0 is x=-15/13 ,x=-13/29

Solve for x: |(8x-1)/(3x+2)|-7=0

The solution is x=-15/13 ,x=-13/29

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\frac{8 x - 1}{3 x + 2} - 7 = 0

x = - \frac{15}{13}, x = - \frac{13}{29}

Decimal Notation

x = - 1.15384 \dots, x = - 0.44827 \dots

Solution steps

\frac{8 x - 1}{3 x + 2} - 7 = 0

Simplify

\frac{8 x - 1}{3 x + 2} : \frac{∣ 8 x - 1 ∣}{∣ 3 x + 2 ∣}

\frac{∣ 8 x - 1 ∣}{∣ 3 x + 2 ∣} - 7 = 0

Multiply both sides by

∣ 3 x + 2 ∣

∣ 8 x - 1 ∣ - 7 ∣ 3 x + 2 ∣ = 0

Solve

∣ 8 x - 1 ∣ - 7 ∣ 3 x + 2 ∣ = 0 : x = - \frac{15}{13} or x = - \frac{13}{29}

x = - \frac{15}{13}, x = - \frac{13}{29}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{2}{3}

Combine undefined points with solutions:

x = - \frac{15}{13}, x = - \frac{13}{29}

- 4 (y + 2) + 2 = 2 (y + 6)

\frac{4 ^{\frac{2}{3}}}{4 ^{\frac{1}{3}}}

\frac{2 - x}{3} + \frac{1 - x}{6} = \frac{4 x - 5}{2}

\frac{22}{8} < \frac{y + 7}{4} < \frac{27}{8}

10 d^{2} - 6 d + 35 d - 21

What is the answer to |(8x-1)/(3x+2)|-7=0 ?
The answer to |(8x-1)/(3x+2)|-7=0 is x=-15/13 ,x=-13/29
Solve for x: |(8x-1)/(3x+2)|-7=0
The solution is x=-15/13 ,x=-13/29